Random evolutions are asymptotically gaussian

DOI10.1002/cpa.3160250104zbMath0226.60103OpenAlexW2098703547MaRDI QIDQ5633406

Mark A. Pinsky, Reuben Hersh

Publication date: 1972

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160250104

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications of branching processes (60J85) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (15)

Asymptotic property of solutions to the random Cauchy problem for wave equations ⋮ The birth of random evolutions ⋮ Limits of random differential equations on manifolds ⋮ Limit theorems for random evolutions with explicit error estimates ⋮ Stationary Effectiveness of an Information Server with a Single Buffer and Bursty Demands of Two Different Customers ⋮ A Random Trotter Product Formula ⋮ Transport equations with singularity ⋮ Asymptotic expansion of a functional constructed from a semi-Markov random evolution in the scheme of diffusion approximation ⋮ A semigroup perturbation theorem with application to a singular perturbation problem in nonlinear ordinary differential equations ⋮ Stochastic prey-predator relationships: a random evolution approach ⋮ Random evolutions and stochastic compartments ⋮ The equation of symmetric Markovian random evolution in a plane ⋮ Diffusion approximation to wave propagation in imperfectly periodic structures ⋮ Asymptotic expansion of semi-Markov random evolutions ⋮ A limit theorem for perturbed operator semigroups with applications to random evolutions

Cites Work

• Explicit solution of a class of higher-order abstract Cauchy problems
• On a Class of Markov Processes Taking Values on Lines and the Central Limit Theorem
• Theory of Random Evolutions with Applications to Partial Differential Equations

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